**"Area"**

## Years 10 – 12 Quadratic Equations

*By Kwethemba Moyo On 14 June, 2020 · Leave a Comment*

1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.

Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.

To […]

## Years 8 – 12 Pythagoras Jigsaw

*By toni On 23 May, 2020 · Leave a Comment*

The right angled triangles numbered 1, 2, 3 and 4 in the diagrams all have sides of length a, b and c. They are identical (congruent) copies of each other.

Cut 4 congruent right angled triangles from some scrap paper. Arrange them as shown in diagram […]

Look at this square divided into four pieces : two identical triangles and two identical trapezia.

The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.

The square had side length 8 […]

## Years 9 – 11 Kite in a Square

*By toni On 2 May, 2020 · 3 Comments*

ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.

Find the area of the kite.

Can you find this area by more than one method?

Click here to download the KITE IN A SQUARE worksheet

Click here to download the KITS IN […]

## Years 4 – 10 Square It Game

*By toni On 26 April, 2020 · Leave a Comment*

SQUARE IT GAME

GAME FOR TWO Use a dotty grid and take it in turns to claim a point and mark it with your colour. The first person or team to get 4 of of their markers at the vertices of a square wins the game.

PEOPLE MATHS – GAME FOR […]

## Years 5 – 10 How Many Squares?

*By toni On 24 April, 2020 · Leave a Comment*

How many squares can you make by joining four points on this grid?

Look for squares of different sizes and also tilted squares

Start with a 3 by 3 grid of nine dots. Can you find six squares?

Then go on to the 4 by 4 grid of sixteen dots.

What can you say […]

## Years 7 – 10 Muggles Magic

*By toni On 4 April, 2020 · 5 Comments*

If you move the 4 pieces of this jigsaw around they will fit into both outlines. One square unit has been removed in the lower shape.

You might like to cut out the pieces from the Muggles Magic Learner Worksheet and try this for yourself.

Click here for the MUGGLES MAGIC Guide […]

## Years 7 – 10 What’s the Area?

*By Elizabeth Turok On 18 February, 2020 · Leave a Comment*

ADHK is a square of side length 12 cm

AB = BC= CD = AE

BE is parallel to CF

EI is parallel to FJ

GE is parallel to AD

Can you find the side lengths of the different shapes?

Justify your answers.

The area of JGK is 20 cm².

Can […]

## Years 9 – 12 Differences of Squares Investigation

*By toni On 15 November, 2019 · Leave a Comment*

1. What do you see in this picture?

Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .

2. What do you notice about the difference between squares of consecutive numbers?

Compare the differences between squares of numbers that differ by 1 […]

## Years 6 – 8 Can you help these Farmers?

*By Elizabeth Turok On 5 September, 2019 · Leave a Comment*

A large piece of land, divided into small plots, belongs to 5 different farmers.

Below is a plan of the area as the land is presently divided.

All the plots labelled (a) belong to farmer (a).

All the plots labelled (s) belong to farmer (s) and so on.

### South Africa COVID-19 News

Here is the official website for COVID-19 updates.

### Login

### SUPPORT AIMSSEC